Understanding GCSE/IGCSE (9-1) Maths
Understanding GCSE/IGCSE (9-1) Maths
Though this course is designed for GCSE & IGCSE Math (0580 & O level) students, other board students can also be benefited by this course. Style adopted is informal way of teaching. Every effort is made to make calculation understandable at every step. Hope learners will enjoy. Many methods to solving questions are explained for convenience of understanding. Learners will get grip on the subject.
Special about this course:
Learner learns at different step.
For example:
Learner learn direct, indirect variation in number section and in algebra section too.
Solving equation whether linear or quadratic equation, you get to learn in algebra & graph section both.
Very strong grip on numbers, algebra, graphs and equation. Instructor have tried to demonstrate every step by providing
hand written demonstration, annotation, etc.
This course Up-to now includes Numbers, Algebra, Graphs & Geometry- I.
Contents are as follows:
1) Numbers I: Basics
Integer
Integer Questions
Multiple Factors, HCF & LCM
-Fraction I *
Decimal
Fraction II
Fraction & Decimal
Order of Operation (BIDMAS)
Brackets in Integers
Percentage Basics
-Basic Algebra *
Recurring Decimal
'*' marked are important topics for word problems. Understanding fraction & basic algebra will help to get better grip on subject topics included in Number-3 section.
2) Numbers II: Comparing, Indices, Surds, Rationalizing Surds, Rounding, Standard form, Upper & Lower Bounds
Comparing symbols & line representation
Comparing decimal, fraction & percentage
Square and square root, Cube and cube root
Indices/Exponents - I (with full Explanation which will help later on in algebra)
Indices/Exponents/Surds - II
Brackets in Surds
-Problems: Surds & Rationalizing surds (2 methods: fast way explained)
Standard form representation
Rounding
Upper bound and lower bound
-Problems: Bound, rounding to nearest decimal place/significant place
Accuracy and Bounds - with Problems
3) Ratio, Proportion, Percentage & Reverse, Direct Indirect Proportion, Distance Speed & Time, Comparing word problems
Ratio Introduction and brief idea
Ratio : easy way
-Problems: Ratio
-Problems & Proportion explanation
Profit & reverse percentage : with or without learning formula ( Percentage series: total 2-3 methods explained)
Rate of increase percentage
-Problems: Loss, decrease & increase percentage (just use multiplying factor for series increase & decrease)
Compound interest (with or without using formula & full explanation how formula is built)
Exponential growth of population/bacteria
Simple interest
Reverse simple interest
Percentage (of-as explanation and problems)
Increase and decrease Percentage
Conversion of currency, distance, time & speed
Distance, speed & time (with or without formula )
Direct & indirect variation/proportion ( Total 2 methods explained: one in this part & other in Problem video)
-Problems: Direct & indirect variation/proportion (easy shortcut method with full explanation)
-Problems: Comparing word problems (ratio, percentage & comparing better value for money) : fast method saves your time
"-" marked (Bold) include problems (in series, one after another).
4) Algebra :
Algebra - Rough Intro
Algebra - Translating Statement to expression
Algebra Addition
Algebra Simplification
Algebra - Multiplication
Algebra - Division
Algebra - Indices I
Algebra - Indices II
Single Bracket- I
Single Bracket- II
Simplifying equation I
Simplifying equation II
Simultaneous equation III
Property of equation IV
Solving equation V
Formula
Making subject I
Making subject II
Word problem- Linear equation in One variable
Word problem- Linear equation in two variable I
Word problem- Linear equation in two variable II
Word problem- Linear equation in two variable III
Double brackets
Simple factorization
Factorization - Quadratic Expression I
Factorization- Quadratic Expression II
Factorization - Quadratic Expression III
Factorization by using Identities IV
Factorization V
Solving Quadratic equation
Quadratic equation Formula
Word Problems- Quadratic Equation
Direct indirect
Question direct indirect
Rational expression I
Rational expression II
Rational expression III
Inequality - I
Inequality - II
Function, Domain and Range
Problems on functions
Composite functions
Question on Composite functions
Inverse function
Question on Inverse function
Question on Composite functions
Composite inverse function
nth Term of the Sequence
Linear Sequence
Geometric Sequence
Quadratic sequence I (First Method)
Quadratic sequence II (Second Method)
Quadratic sequence III
Cubic sequence I (First Method)
Cubic sequence II (Second Method)
5) Graphs
Coordinate system- Introduction
Representing Coordinates on graph paper
Plotting graphs of equations
Equation on graph paper
Finding solution graphically
Finding solution algebraically & graphically
Different types of solutions
Rate of change or Slope
Distance-Time graph
Problem on distance-time graph - I
Problem on distance-time graph - II
Speed-Time graph
Acceleration and deceleration graph
Problems on rate of change or slope
A equation = slope.x+ c
Problem on speed time graph - 3
Average speed-Intro
Problems on average speed
Direct variation graph
Indirect variation graph
Intercept of any graph
Overview quadratic graph
Plotting quadratic graph -I
Plotting quadratic graph -II
Plotting quadratic graph -III
Quadratic graph Intercept (cut on axis)
Finding quadratic equation by graph
Linear & non linear graph (Solving algebraically & graphically)
Simple - use graph to solve different equations
Problem on quadratic graph
Cubic graph and problems
Write cubic equation for a cubic graph
Reciprocal graph
Exponential graph
Translation of graph in y direction
Translation of graph in x direction
Turning point
Problem on turning point
Reflection of graph in x axis
Reflection of graph in y axis
Stretch of graph parallel to y axis
Stretch of graph parallel to x axis
Inequalities - I
Inequalities - II
Inequalities - III
Quadratic inequalities
Solving quadratic inequalities algebraically
6) Geometry - I
Construction of 60 degree angle without protector
Construction of 90 & 45 degree angle without protector
Construction of 120 degree angle with ruler & compass
Construction of 60 & 30 degree angle without protector
Angles bisector with compass & ruler
Construction triangles
Perpendicular bisector
Equidistant from points
Equidistant points inside a rectangle
Equidistant points inside a Hexagon
Finding required region
Constructing Square
Constructing rhombus
Divide a line in 5:3
Constructing a Hexagon
Constructing Tangents
Constructing right angle isosceles triangle
Constructing triangle (application of perp. bisector)
Constructing triangle (application of angle bisector)
Revision - geometry
Bisectors and triangles
Parallel lines and angles
Question on parallel lines and angles - I
Question on parallel lines and angles - II
Properties of a triangle
Questions on angles of a triangle - I
Sum of exterior angles of triangle
Questions on angles of a triangle - II
Sum of angles of a quadrilateral
Sum of exterior angles of a quadrilateral
Sum of angles of a polygon
Angles of a regular polygon
Sum of exterior angles of any polygon
Scale & scale drawings
Bearings
Learners can write in messages for any suggestion or any feedback for this course.
Messages are most welcome!
- Thank you to all for their love and support.
GCSE and IGCSE Maths - Numbers, Algebra, Graphs & Geometry-I
Url: View Details
What you will learn
- IGCSE/GCSE Maths
- Full command on Percentage, Ratio etc. (Unit- Numbers)
- Will be able to easily solve questions on algebra.
Rating: 4.375
Level: All Levels
Duration: 18.5 hours
Instructor: Understand From Home Tutor
Courses By: 0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
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